A333938 Decimal expansion of Product_{k>=1} (1 - k/2^k).

0, 7, 8, 8, 9, 8, 3, 5, 0, 0, 2, 1, 2, 4, 9, 1, 8, 1, 0, 0, 6, 4, 1, 8, 5, 9, 2, 0, 1, 2, 2, 9, 4, 7, 7, 7, 4, 7, 3, 6, 7, 2, 8, 1, 4, 3, 4, 5, 8, 4, 9, 1, 2, 5, 0, 8, 7, 3, 9, 6, 7, 2, 1, 4, 6, 8, 7, 0, 4, 5, 6, 5, 7, 4, 5, 4, 2, 7, 2, 3, 4, 5, 9, 1, 3, 5, 5, 5, 0, 3, 8, 1, 4, 3, 9, 6, 5, 5, 7, 1, 5, 1, 6, 1, 4, 2

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Formula

Equals exp(-Sum_{j>=1} polylog(-j, 1/2^j)/j).

Example

0.0788983500212491810064185920122947774736728143458491250873967214687...

Maple

evalf(Product(1 - k/2^k, k = 1..infinity), 100);

Mathematica

Join[{0}, RealDigits[Product[1-n/2^n, {n, 500}], 10, 120][[1]]] (* Harvey P. Dale, Jan 12 2024 *)

Prog

(PARI) prodinf(k=1, 1 - k/2^k)

Crossrefs

Cf. A048651, A065446, A277355.

Sequence in context: A226320 A021563 A377603 * A268575 A198814 A254272

Adjacent sequences: A333935 A333936 A333937 * A333939 A333940 A333941

Keyword

nonn,cons

Author

Vaclav Kotesovec, Apr 11 2020

Status

approved